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The sum of three possible values of x° in the isosceles triangle is 180°. The angles are 40°, 70°, and 70°. The correct answer is E. 180.

In an isosceles triangle, two angles are congruent (equal). So, if one angle is 70°, the other angle must also be 70°.

Let's denote the third angle as y°.

Since the sum of the angles in any triangle is 180°, we can write the equation:

70° + 70° + y° = 180°

Solving for y:

2 × 70° + y° = 180°

y° = 180° - 140°

y° = 40°

So, the three possible values of x° are 40°, 70°, and 70°.

Now, let's find the sum of these three possible values:

Sum = 40° + 70° + 70°

Sum = 180°

Therefore, the sum of three possible values of x° is 180°. The correct answer is E. 180.

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To translate a directed line segment from the origin to (0,-3), simply subtract 3 from the y-coordinate. To reflect a point across the line y=x, swap the x and y coordinates. The reflected point of (0,-3) would be (-3,0).

To translate a directed line segment from the origin to (0,-3), we can simply subtract 3 from the y-coordinate. The new coordinate would be (0,-3).

To reflect a point across the line y=x, we swap the x and y coordinates. So the reflected point of (0,-3) would be (-3,0).

a = adult tickets

c = child

c + a = 163 tickets total

rewrite as c = 163-a

5.10c + 9.00a = 1088.70

5.10(163-a) + 9.00a = 1088.70

831.30-5.10a + 9.00a = 1088.70

831.30 +3.9a = 1088.70

3.9a = 1088.70-831.30

3.9a  = 257.40

a = 257.40 / 3.9 = 66

 66 adult tickets were sold

Answer:

Option 1 - Add 3.8 to both sides of the equation.            

Step-by-step explanation:

Given : Equation  [tex]1.2w-3.8=12.4[/tex]

To find : Which should be the first step in solving the equation?

Solution :

Equation  [tex]1.2w-3.8=12.4[/tex]

Step 1 - Adding 3.8 both side,

[tex]1.2w-3.8+3.8=12.4+3.8[/tex]

[tex]1.2w= 16.2[/tex]

Step 2 - Divide 1.2 both side,

[tex]\frac{1.2w}{1.2}=\frac{16.2}{1.2}[/tex]

[tex]w=13.5[/tex]

Therefore, The first step in solving the equation is 'Add 3.8 to both sides of the equation.'

So, Option 1 is correct.

Answer:

The area of a sand dollar that is 3 inches wide is [tex]7.0686 inch^2[/tex]

Step-by-step explanation:

Width of sand dollar's circular body  = d = 3 inches

Radius of the  sand dollar's circular body  = r

[tex]r=\frac{d}{2} = \frac{3 inch}{2}=1.5 inches[/tex]

Area of circle = [tex]\pi r^2[/tex]

So, the area of a sand dollar that is 3 inches wide:

[tex]A=3.14\times (1.5 inch)^2=7.0686 inch^2[/tex]

The area of a sand dollar that is 3 inches wide is [tex]7.0686 inch^2[/tex]

Answer:

A.Acute angle

Step-by-step explanation:

We are given that an obtuse angle

We have to find that which type of angle of bisector of an obtuse angle.

Bisector of an obtuse angle means it is divided into two equal parts.

Obtuse angle is that angle whose measurement is greater than 90 degrees and less than 180 degrees.

Suppose, we have an obtuse angle =100 degrees

After bisection , it divides into two equal parts

Let x and x are two equal parts of given obtuse  angle

[tex]x+x=100[/tex]

[tex]2x=100[/tex]

[tex]x=\frac{100}{2}=50[/tex]

Each angle measurement=50 degrees < 90 degrees

The angle which is less than 90 degrees and greater than zero degrees  is called acute angle.

Hence, the bisector of an obtuse  angle forms acute angles.

Answer:A.Acute angle

Answer:

52

Step-by-step explanation:

The type of association scatter plot for this data represents the number of hours worked and the total money earned is a positive correlation.

The number of hours and the amount of money increases at an even rate, 4 dollars for each hour.

The given table;

Hours Worked                 1   2  3   4   5   6   7   8   9  

Money Earned (dollars)   4  8  12 16  20 24 28 32 36

We can see here as the number of hours increases the amount of money is increasing, so it indicates that there is a positive association.

Also, there is an unequal change in equal intervals of time, so it represents a  positive nonlinear association.

Hence, the graph is a line, y=4x,

The type of association scatter plot for this data represents the number of hours worked and the total money earned is a positive correlation.

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Answer:

Dawn paid $7.09.

Step-by-step explanation:

Dawn Lingua bought cloth to make curtains = 3 yards

Cost of the cloth = $2.25 per yard

Cost of 3 yard cloth = $2.25 × 3 = $6.75

Sales tax was = 5%

Sales tax on the total cost = 5% of 6.75

= (5/100) × 6.75 = 0.05 × 6.75 = $0.3375

Now we add sales tax to the total cost

= 6.75 + 0.3375 = $7.0875 rounded to $7.09

Dawn paid for the cloth with sales tax was $7.09

The probability that Ms. Frazier selects a girl first and a boy second from her class is 24/95, calculated by multiplying the probability of selecting a girl (8/20) by the probability of selecting a boy thereafter (12/19).

To calculate the probability that Ms. Frazier will select a girl student first and a boy student second from her class of 12 boys and 8 girls, we need to use the concept of conditional probability because the selection of the second student depends on the first.

The total number of students is 12 boys + 8 girls = 20 students. The probability of selecting a girl first is the number of girls divided by the total number of students, which is 8/20. Once a girl is selected, there are now 19 students left. The probability of selecting a boy next is the number of boys left (which is still 12) divided by the new total, which is 12/19. The joint probability of both events happening in succession (selecting a girl then a boy) is found by multiplying the probabilities of the two individual events.

So, the probability of selecting a girl first and a boy second is (8/20) × (12/19) = 96/380. This simplifies to 24/95 when we divide both numerator and denominator by 4.

Therefore, Ms. Frazier has a probability of 24/95 to choose a girl first and a boy student second.

The probability of selecting a girl student first and a boy student second is approximately 0.2526.

To find the probability of selecting a girl student first and a boy student second, we need to calculate the probability of each event separately and then multiply them together.

Step 1: Probability of selecting a girl student first

Step 2: Probability of selecting a boy student second

Step 3: Multiply the probabilities from Step 1 and Step 2:

A1 = 35x+25

Good guys = 40x

35x+25 = 40x

subtract 3x x from each side

25 = 5x

 divide each side by 5

x = 25/5 = 5

 so 5 hours they would be the same cost,  anything over 5 hours and A1 would be better

so X>5 for A1 to be the better price

her answer is right but you just have to switch 4 and 5 around 4 is geometric while 5 is arithmetic

Final Answer:

Each sequence is tested for a common difference or ratio to determine if it is arithmetic or geometric. The sequences 98.3, 94.1, 89.9, 85.7 and -12, -10.8, -9.6, -8.4 are arithmetic, 1.75, 3.5, 7, 14 is geometric, and 1, 0, -1, 0 as well as -1, 1, -1, 1 are neither.

Explanation:

To determine if a sequence is arithmetic, geometric, or neither, we look for a common difference or ratio between consecutive terms.

A woman who is 5 feet 6 inches tall and weighs 175 pounds has a BMI of 28.2 and would be classified as overweight.

The Body Mass Index (BMI) is a tool commonly used to assess whether a person has a healthy weight relative to their height. To calculate BMI, you divide a person's weight in pounds by their height in inches squared and multiply by 703.

For a woman who is 5 feet 6 inches tall and weighs 175 pounds:

The calculation for BMI would be:
BMI = (175 / (66×66)) × 703  
BMI = 28.2

According to the BMI weight status categories:
BMI between 25 and 29.9 is considered overweight, and a BMI of 30 or higher is considered obese.

Therefore, a woman who is 5 feet 6 inches tall and weighs 175 pounds would be classified as overweight.

The probability of obtaining between 9 and 14 heads , exclusive is 0.510

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability of obtaining a head in a single toss be p = 0.3

Let the number of times the coin is tossed be n = 35

Now , the mean and the standard deviation is calculated by

Mean M = np

Substituting the values of n and p , we get

Mean M = 0.3 x 35

Mean M = 10.5

Now , the standard deviation S = √M ( 1- p )

Substituting the values in the equation , we get

Standard Deviation S = √10.5 ( 1 - 0.3 )

Standard Deviation S = √10.5 x 0.7

Standard Deviation S = 2.71

Now , the probability of obtaining between 9 and 14 heads , exclusive is represented as P ( 9 < x < 14 ) = P ( 8.5 < x < 14.5 )

And , the z - scores of 8.5 and 14.5 are

z ( 8.5 ) = ( x - M ) / S

            = ( 8.5 - 10.5 ) / 2.71

            = -0.3688

z ( 14.5 ) = ( x - M ) / S

            = ( 14.5 - 10.5 ) / 2.71

            = 1.1066

So , the probability of obtaining between 9 and 14 heads , exclusive is represented as P ( 9 < x < 14 ) = P ( -0.3688 < x < 1.1066 )

So , the equation can be written as

P ( 9 < x < 14 ) = P ( z < 1.1066 ) - P ( z < -0.3688 )

Using z-scores of probabilities, we have:

P ( 9 < x < 14 ) = 0.86577 - 0.3561

P ( 9 < x < 14 ) = 0.50967

P ( 9 < x < 14 ) = 0.510

Therefore , the value of  P ( 9 < x < 14 ) is 0.510

Hence,

The probability of obtaining between 9 and 14 heads , exclusive is 0.510

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Let

x--------> the length side of the rectangle

y-------> the width side of a rectangle

we know that

[tex]y=\frac{1}{2}x[/tex] ------> equation A

[tex]x=2a\ units[/tex] ---------> given problem (see the graph)

substitute the value of x in the equation A

[tex]y=\frac{1}{2}2a=a\ units[/tex]

therefore

the answer is

the top-left vertex of the rectangle is the point [tex](0,a)[/tex]

Answer:

8.7 Maybe.

Step-by-step explanation: